A Riesz representation theorem for cone-valued functions

Autor: Walter Roth
Jazyk: angličtina
Rok vydání: 1999
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 4, Iss 4, Pp 209-229 (1999)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
10853375
DOI: 10.1155/S1085337599000160
Popis: We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-valued functions endowed with an inductive limit topology may be represented by such integrals.
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